1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
antiseptic1488 [7]
2 years ago
13

Do the ratios 3/20 and 1/4 form a proportion?

Mathematics
1 answer:
koban [17]2 years ago
8 0

Answer:

yes

Step-by-step explanation:

if the denomentators are dividable, than it is a equivalent equation

You might be interested in
Lots of 40 components each are deemed unacceptable if they contain 3 or more defectives. The procedure for sampling a lot is to
MrRissso [65]

Answer:

The probability of founding exactly one defective item in the sample is P=0.275.

The mean and variance of defective components in the sample are:

\mu=0.375\\\\\sigma^2=0.347

Step-by-step explanation:

In the case we have a lot with 3 defectives components, the proportion of defectives is:

p=3/40=0.075

a) The number of defectives components in the 5-components sample will follow a binomial distribution B(5,0.075).

The probability of having one defective in the sample is:

P(k=5)=\binom{5}{1}p^1(1-p)^4=5*0.075*0.925^4=0.275

b) The mean and variance of defective components in the sample is:

\mu=np=5*0.075=0.375\\\\\sigma^2=npq=5*0.075*0.925=0.347

The Chebyschev's inequality established:

P(|X-\mu|\geq k\sigma)\leq \frac{1}{k^2}

6 0
3 years ago
Help please?!
Furkat [3]
Well from what i know here's what i would put........
-4 * -2 = 8 - 2 = 6
-4 * -1 = 4 - 2 = 2
-4 * 0 = 0 - 2 = -2
so it does represent a function......I really hope that helped!!

8 0
3 years ago
Will give BRAINLIEST
damaskus [11]

Answer:

Step-by-step explanation:

ans is -4

5 0
3 years ago
What is the median of the data displayed in this box-and-whisker plot? A.41 B.49 C.55 D.58
Likurg_2 [28]
The answer is A. 41 because it is in the middle of the box.
4 0
3 years ago
Read 2 more answers
−2x=x^2−6
Iteru [2.4K]

Step-by-step explanation:

Example 1

Solve the equation x3 − 3x2 – 2x + 4 = 0

We put the numbers that are factors of 4 into the equation to see if any of them are correct.

f(1) = 13 − 3×12 – 2×1 + 4 = 0 1 is a solution

f(−1) = (−1)3 − 3×(−1)2 – 2×(−1) + 4 = 2

f(2) = 23 − 3×22 – 2×2 + 4 = −4

f(−2) = (−2)3 − 3×(−2)2 – 2×(−2) + 4 = −12

f(4) = 43 − 3×42 – 2×4 + 4 = 12

f(−4) = (−4)3 − 3×(−4)2 – 2×(−4) + 4 = −100

The only integer solution is x = 1. When we have found one solution we don’t really need to test any other numbers because we can now solve the equation by dividing by (x − 1) and trying to solve the quadratic we get from the division.

Now we can factorise our expression as follows:

x3 − 3x2 – 2x + 4 = (x − 1)(x2 − 2x − 4) = 0

It now remains for us to solve the quadratic equation.

x2 − 2x − 4 = 0

We use the formula for quadratics with a = 1, b = −2 and c = −4.

We have now found all three solutions of the equation x3 − 3x2 – 2x + 4 = 0. They are: eftirfarandi:

x = 1

x = 1 + Ö5

x = 1 − Ö5

Example 2

We can easily use the same method to solve a fourth degree equation or equations of a still higher degree. Solve the equation f(x) = x4 − x3 − 5x2 + 3x + 2 = 0.

First we find the integer factors of the constant term, 2. The integer factors of 2 are ±1 and ±2.

f(1) = 14 − 13 − 5×12 + 3×1 + 2 = 0 1 is a solution

f(−1) = (−1)4 − (−1)3 − 5×(−1)2 + 3×(−1) + 2 = −4

f(2) = 24 − 23 − 5×22 + 3×2 + 2 = −4

f(−2) = (−2)4 − (−2)3 − 5×(−2)2 + 3×(−2) + 2 = 0 we have found a second solution.

The two solutions we have found 1 and −2 mean that we can divide by x − 1 and x + 2 and there will be no remainder. We’ll do this in two steps.

First divide by x + 2

Now divide the resulting cubic factor by x − 1.

We have now factorised

f(x) = x4 − x3 − 5x2 + 3x + 2 into

f(x) = (x + 2)(x − 1)(x2 − 2x − 1) and it only remains to solve the quadratic equation

x2 − 2x − 1 = 0. We use the formula with a = 1, b = −2 and c = −1.

Now we have found a total of four solutions. They are:

x = 1

x = −2

x = 1 +

x = 1 −

Sometimes we can solve a third degree equation by bracketing the terms two by two and finding a factor that they have in common.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify negative 2 over 3 ÷ negative 7 over 4.
    8·2 answers
  • Expandable form of 470,000
    10·1 answer
  • What is the degree of x^3+2x-3x^4+5+3x^2
    6·1 answer
  • Determine the measures of the unknown labeled angles in the diagrams below:
    6·1 answer
  • 10 poi
    12·1 answer
  • B is the midpoint of AC. If AB =x +5 and BC = 2x -11, find the measure of AB
    5·1 answer
  • What is the measure of ∠UVW? <br><br> ty : )
    11·2 answers
  • Michael has some coins in his pocket consisting of dimes, nickels, and pennies. He has two more nickels than dimes, and three ti
    6·2 answers
  • Round the number to the place of the underlined digit.<br><br> 0.758
    15·1 answer
  • Please help. I don't know any theorems that relate to this
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!